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Rajan@2021
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Asked: 2021-04-19T14:57:37+05:30 In:

Show graphically that the following given systems of equations is inconsistent, i.e, has no solution: 2x+y=6, 6x+3y=20

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Sir please give me a detailed solution of this question in which we have given two equations 2x+y=6 and 6x+3y=20 and we have to show graphically that the following given systems of equations is inconsistent, i.e, has no solution

RS Aggarwal, Class 10, chapter 3A, question 28

cbse class 10linear equations in two variablesrs aggarwal
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    1. Guru
      Show graphically that the following given systems of equations is inconsistent, i.e, has no solution: 2x+y=6, 6x+3y=20

      2x+y=6….(1)
      6x+3y=20……(2)

      Isolate y from equation (1) and find the value of x and y.
      2x+y=6
      or y=6−2x

      x y
      0 6
      1 4
      3 0

      Similarly, isolate x from equation (2) and find the values of x and y.
      6x+3y=20
      or x=(20−3y)/6

      x y
      10/3 0
      7/3 2
      4/3 4

      Graph:
      From the graph, both the lines are parallel.
      Therefore this system has no solution.

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